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Proof step 7 from proof at-last (previous step)

∀ m. # x0 = m + 1 → x0[m] = x0.last ∨ x0 = [] ⊦ (a ' + x0)[# x0] = (a ' + x0).last

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
∀ m. # x0 = m + 1 → x0[m] = x0.last ∨ x0 = [] ⊦ (a ' + x0)[# x0] = (a ' + x0).last, x0 = []

Rule argument

fma: x0 = []

Additional information

Used simplifier rules: one-03: ⊦ a '[0] = a;% ⊦ x + [] = x; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ # [] = 0; (s)% ⊦ a '.last = a; (s) Used formulas: x0 = []